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Finding the Fourth Proportional to 39,436.52, 59,154.78 and 23,009

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Solution

The fourth proportional to 39,436.52, 59,154.78 and 23,009 is: 34,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,436.52 : 59,154.78 = 23,009 : x
  2. Step 2: Convert to fraction form
    39,436.52/59,154.78 = 23,009/x
  3. Step 3: Cross multiply
    39,436.52x = 59,154.78 × 23,009
  4. Step 4: Simplify right side
    39,436.52x = 1,361,092,333.02
  5. Step 5: Solve for x
    x = 1,361,092,333.02/39,436.52
  6. Step 6: Final answer
    x = 34,513.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.